Solution of the spin-one DKP oscillator under an external magnetic field in noncommutative space with minimal length

• 来源期刊: 中国物理B（英文版）
• 关键词: DKP oscillator noncommutative space minimal length momentum space representation
• 年，卷（期）: 2018,（1）
• 页码范围: 240-246
• 页数: 7页
• 语种: 英文
• DOI: 10.1088/1674-1056/27/1/010301

摘要

The spin-one Duffin–Kemmer–Petiau (DKP) oscillator under a magnetic field in the presence of the minimal length in the noncommutative coordinate space is studied by using the momentum space representation. The explicit form of energy eigenvalues is found, and the eigenfunctions are obtained in terms of the Jacobi polynomials. It shows that for the same azimuthal quantum number, the energy E increases monotonically with respect to the noncommutative parameter and the minimal length parameter. Additionally, we also report some special cases aiming to discuss the effect of the noncommutative coordinate space and the minimal length in the energy spectrum.